Mat 101 Past Questions and Answers

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Table of Contents

MAT 101

QUESTION NUMBER 1

In industrial maths department there are 300 people. 50 are lecturers, 200 are students while 40 are both lecturers and students. find how many that are neither lecturers nor students.

A. 90

B. 48

C. 12

D. 96

ANSWER: A

QUESTION NUMBER 2

The arithmetic mean and geometric mean of two numbers are 39 and 15 respectively. find the positive difference between the two numbers

A. 78

B. 72

C. 24

D. 25

ANSWER: B

QUESTION NUMBER 3

Solve for r in 16^Cr=^16 Cr+2

A. 7

B. 14

C. 25

D. 52

ANSWER: A

QUESTION NUMBER 4

Find the value of a in 7^a x 7^2(2a-1)=

A. 1/4

B. 3/4

C. 4/3

D. 1

ANSWER: B

QUESTION NUMBER 5

Find the argument of the complex number (-3-i)^3

A. 34

B. 125

C. 145

D. 55

ANSWER: D

QUESTION NUMBER 6

What type of progression is 1/2, 1/4, 1/6

A. an AP

B. an GP

C. an AP and GP

D. Harmonic progression

ANSWER: D

QUESTION NUMBER 7

Given that the matrix A=[2/6 4/8], Find
|A^-1|

A. -1/7

B. -2/7

C. 2/7

D. -1/8

ANSWER: D

QUESTION NUMBER 8

Find the relationship between an, sn, sn-1 if an, sn, are the nth terms and sum of the first terms of a sequence respectively

A. an = sn + sn -1

B. sn-1 = sn

C. sn = an

D. sn-1 = sn

ANSWER: B

QUESTION NUMBER 9

Express (3+4i)(2+i)/1+i in the form of a + bi

A. 13/2 + 9i/2

B. -13/2 – 9i/2

C. -13/2 + 9i/2

D. 13/2 – 9i/2

ANSWER: A

QUESTION NUMBER 10

The middle term of the expression (1 + a)^6 is given by

A. a^6

B. 6a^6

C. 20a^3

D. ^6C1a

ANSWER: C

QUESTION NUMBER 11

Find the value(s) of k if x^2 + kx + 4 is to have equal roots

A. +-2

B. +-1

C. +-4

D. +-7

ANSWER: C

QUESTION NUMBER 12

Let log ea, logea^2, logea^3…. be a sequence. then the sum of the first 10 terms of the sequence is

A. Logea

B. 10logea

C. 55logea

D. 8logea

ANSWER: C

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